5/6 as a Decimal
The fraction 5/6 converted to a decimal, with a step-by-step solution.
How to Convert 5/6 to a Decimal (Long Division)
- 1
Set up the division of the numerator by the denominator.
5 ÷ 6
- 2
6 does not go into 5, so the whole-number part is 0. Write "0." and continue with a remainder of 5.
0 . …
- 3
Bring down a 0 to make 50. 6 goes into 50 8 times (8 × 6 = 48), remainder 2.
50 ÷ 6 = 8, r 2
- 4
Bring down a 0 to make 20. 6 goes into 20 3 times (3 × 6 = 18), remainder 2. (This is where the repeating block begins.) The remainder 2 has appeared before, so the digits from here on repeat forever.
20 ÷ 6 = 3, r 2
Is 5/6 a Terminating or Repeating Decimal?
5/6 is a repeating decimal. Written in full it is 0.8(3) — the digit 3 repeats forever. The parentheses mark the repeating block.
5/6 Rounded to Each Place
| Rounded to | Value |
|---|---|
| Nearest tenth | 0.8 |
| Nearest hundredth | 0.83 |
| Nearest thousandth | 0.833 |
5/6 as a Mixed Number
5/6 is a proper fraction (the numerator is smaller than the denominator), so it is less than 1 and has no whole-number part — its value is just 0.833333.
Try Another Fraction
Step-by-Step Solution
- 1
Divide the numerator by the denominator.
5 ÷ 6 = 0.833333
- 2
Multiply by 100 to get the percentage.
0.833333 × 100 = 83.333333%
Frequently Asked Questions
What is 5/6 as a decimal?
5/6 as a decimal is 0.833333. You get it by dividing the numerator 5 by the denominator 6.
Is 5/6 a terminating or repeating decimal?
5/6 is a repeating decimal. Written out it is 0.8(3), where the digit 3 repeats forever.
What is 5/6 rounded to the nearest thousandth?
Rounded to the nearest thousandth, 5/6 ≈ 0.833. To the nearest hundredth it is 0.83, and to the nearest tenth it is 0.8.
Is 5/6 a rational number?
Yes. 5/6 is a ratio of two integers (5 over 6), so it is a rational number — even though its decimal form repeats.